Reduced density matrices of oscillator systems
| dc.creator | Dodonov, V. V. | |
| dc.creator | Man'ko, O. V. | |
| dc.creator | Man'ko, V. I. | |
| dc.date | 2002-10-04 | |
| dc.date.accessioned | 2026-07-07T06:05:07Z | |
| dc.date.available | 2026-07-07T06:05:07Z | |
| dc.description | We study the evolution of an oscillator interacting via the most general bilinear coupling (with time-independent coefficients) with an ``environment'' consisting of a set of other harmonic oscillators. We are mainly interested in a possibility of using the Fokker-Planck equation to describe this evolution. Studying different interaction Hamiltonians, we show that unambiguous reduction to the Fokker-Planck equation is possible only within the framework of the so called rotating-wave approximation. As special cases we consider in detail the evolution of two coupled oscillators and relaxation of a charged oscillator in a uniform magnetic field. | |
| dc.description | LaTex, 22 pages. This is the third part (pages 32-56) of the paper by the authors entitled "Quantum nonstationary oscillator: models and applications" | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0210030 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0210030 | |
| dc.identifier | Journal of Russian Laser Research, vol. 16, no. 1, p. 1--56 (1995) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/90539 | |
| dc.subject | Quantum Physics | |
| dc.title | Reduced density matrices of oscillator systems | |
| dc.type | text |